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Finding the Third Proportional to 150,074 and 354,258

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Solution

The third proportional to 150,074 and 354,258 is: 836,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,074 : 354,258 = 354,258 : x
  2. Step 2: Convert to fraction form
    150,074/354,258 = 354,258/x
  3. Step 3: Cross multiply
    150,074x = 354,258 × 354,258
  4. Step 4: Simplify right side
    150,074x = 125,498,730,564
  5. Step 5: Solve for x
    x = 125,498,730,564/150,074
  6. Step 6: Final answer
    x = 836,245.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.